Yes
Yes, it is possible to get 100% humidity in a closed system. Fans running will not change the outcome, but will likely result in achieving the higher RH more quickly by providing more air/water interface opportunity. In mass transfer operations it is always preferrable to increase contact between the phases.
Two disclaimers...if system is not closed then very high humidity is unlikely unless one has the water supply and fan capacity to saturate the entire earth's atmosphere. Secondly, the pressure wave ahead of the fan blades will condense moisture on the blades before 100% RH is attained in the system. Therefore, if the fan is large and powerful it might limit humidity in the entire system to slightly less than 100%.
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